Question

1. The sides of certain triangles are given below. Determine which of them
are right triangles.
(1) 9 cm, 16 cm, 18 cm
(ii) 7 cm, 24 cm, 25 cm
(111) 1,4 cm, 4.8 cm,5 cm
(iv) 1.6 cm, 3.8 cm, 4 cm
(v) (a - 1)cm, 2 Va cm, (a + 1)cm
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Answer 1

Answer:

1)9^2+16^2

=81+256

=337

18^2=324

so it is not a right angle triangle

ii)7^2+24^2

=49+576

=625

=25^2

so it is a right angle triangle

iii)1.4^2+4.8^2

=1.96+23.04

=25=5^2

so it is a right angle triangle

iv)1.6^2+3.8^2

=2.56+14.44

=17

4^2=16

so it is not a right angle triangle

v)(a-1)^2+(2√a)^2

=a^2-2a+1+4a

=a^2+2a+1

=(a+1)^2

do it is a right angle triangle